Disclosure: This is not a homework problem, however it is an ongoing design project for a university. We can use any and all resources available, including forums and industry design guides.

The parameters we have been given are to design and build a prototype for a cooling screw conveyor with a water jacketed trough. We have the feed rate of the material coming off the conveyor, all the material properties, a starting temperature and a desired ending temperature. We also have the dimensions of the trough and screw. Where we're running into trouble is how to calculate the temperature profile for different temperatures of water running through the jacket. Or even if, for now, we assume a constant temperature of, say, 50 F, how to determine if the length of the trough is feasible. Any advice is appreciated. Thank you.